拓扑分子格的正则闭分离性  

Regular closed separations in topological molecular lattices

作　　者：苏淑华[1] 李琪[1] 

机构地区：[1]东华理工大学数学与信息科学学院,江西抚州344000

出　　处：《安徽大学学报（自然科学版）》2011年第4期14-19,共6页Journal of Anhui University(Natural Science Edition)

基　　金：江西省教育厅科学技术研究基金资助项目(GJJ09257);江西省教改基金资助项目(JXJG10811)

摘　　要：引入拓扑分子格中的正则闭远域与正则闭分离性(Tric,i=-1,0,…,4)等概念,给出它们的刻画,证明Tric分离性均为正则拓扑性质的,即在拓扑分子格的半正则化中,Tric分离性与Ti分离性是等价的.In this paper,the notions of regular closed remote neighborhood and regular closed separations（Trci,i=-1,0,…,4）were introduced in topological molecular lattices,and their characterizations were given.It was proved that they were all regular topological properties and equivalent to Trci separations in semi-regularization spaces.

关 键 词：拓扑分子格 正则闭远域 正则闭分离性 半正则化 

分 类 号：O189.11[理学—数学]